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面向最小维修的数控机床可靠性评估
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国家自然科学基金资助项目(50835008,51175527);国家“高档数控机床与基础制造装备”科技重大专项(2010ZX04014-015,2011ZX04014-011; 2012ZX04011-031)


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    摘要:

    为了解决数控机床最小维修的可靠性评估问题,提出了基于幂律过程的可靠性评估方法,建立了基于幂律过程的故障数据模型。对故障数据进行趋势检验和更新过程检验,验证了幂律过程应用的前提条件成立。提出CBT与CLT的分步检验方法对评估涉及的多台机床的同质性进行了验证。用极大似然估计法和Fisher信息矩阵法给出了模型参数的点估计与区间估计,并给出了机床可靠性指标的点估计和基于Delta法的区间估计。应用Cramér-von Mises法对模型进行拟合优度检验。实例分析表明:幂律过程能够反映出数控机床的瞬时与累积可靠性特性,提出的CBT&CLT分步检验方法能够有效地对多台机床同质性做出判断,得到的结果更符合实际。

    Abstract:

    An approach of assessing reliability for multiple NC machine tools with minimal repair based on power law process (PLP) was proposed, and a PLP function for failure times was built. Trend test and renewal test were performed on the failure data to assure the application of power law process was valid. CBT (common beta test) and CLT (common lambda test) two-step-test was developed to check the homogeneity of multiple machines in assessing. Point and confidence interval estimators were given by maximum likelihood method and Fish information matrix. Point estimates of reliability indexes were also derived with their confidence bounds offered through Delta method. The Cramér-von Mises method was finally adopted to do the goodness-fit-test. Real example analysis demonstrates that PLP can give both instantaneous and cumulative reliability properties for NC machine tools, CBT&CLT test is capable to verify the homogeneity of multiple machines adequately, hence the results are more practical.

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张根保,刘杰,杨毅,高琦樑.面向最小维修的数控机床可靠性评估[J].机床与液压,2014,42(5):180-184.
.[J]. Machine Tool & Hydraulics,2014,42(5):180-184

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  • 在线发布日期: 2014-12-24
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